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On a Double Porosity Model of Fractured-Porous Reservoirs Based on a Hybrid Flow Function

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Abstract

In this paper, a model of double porosity for a fractured porous medium using a combination of classical and gradient functions of mass transfer between the cracks and porous blocks in a weakly compressible single-phase fluid flow is considered. As compared to the wellknown models, the model with such a mass transfer function allows one to take into account the anisotropic properties of filtration in a more general form. The results of numerical tests for two- and three-dimensional model problems are presented. The computational algorithm is based on a finite element approximation with respect to space and a completely implicit approximation with respect to time.

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Acknowledgments

This work was supported by the Russian Science Foundation, project no. 15-11-10024.

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Authors and Affiliations

  1. Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090, Russia

    A. V. Grigoriev, Yu. M. Laevsky & P. G. Yakovlev

  2. Ammosov North-Eastern Federal University, ul. Belinskogo 58, Yakutsk, Sakha (Yakutia) Republic, 677000, Russia

    A. V. Grigoriev

  3. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    Yu. M. Laevsky

Authors
  1. A. V. Grigoriev
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  2. Yu. M. Laevsky
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  3. P. G. Yakovlev
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Correspondence to A. V. Grigoriev.

Additional information

Original Russian Text © A.V. Grigoriev, Yu.M. Laevsky, P.G. Yakovlev, 2018, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2018, Vol. 21, No. 2, pp. 155–169.

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Grigoriev, A.V., Laevsky, Y.M. & Yakovlev, P.G. On a Double Porosity Model of Fractured-Porous Reservoirs Based on a Hybrid Flow Function. Numer. Analys. Appl. 11, 121–133 (2018). https://doi.org/10.1134/S1995423918020039

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  • DOI: https://doi.org/10.1134/S1995423918020039

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